Final answer:
The area of the rectangle is 54x^5 + 12yx^4.
Step-by-step explanation:
The area of a rectangle can be calculated by multiplying its width by its length. In this case, the width is 6x^4 and the length is 9x + 2y^3. To find the area, we can substitute these values into the formula:
Area = width x length = (6x^4) x (9x + 2y^3)
Next, we can simplify this expression by multiplying the terms together:
Area = 54x^5 + 12yx^4
So, the area of the rectangle is 54x^5 + 12yx^4.